Answer:
7.5
Step-by-step explanation:
Sum of a geometric series,
[tex] \frac{a _{1}(1 - r {}^{n} ) }{1 - r} [/tex]
Where a1 is the first term, R is the common ratio, n is the number of terms.
a1 is 5
r is 1/3
n is 10.
[tex] \frac{5(1 - ( \frac{1}{3} ){}^{10} ) }{ \frac{2}{3} } [/tex]
Which is about
7.50
